What is the value of the following expression? log (9/14)-log (15/16)+log (35/24) · ABC26GN2048

Subject: General Aptitude · Chapter: Logarithms · Exam: I.I.F.T. 2005

What is the value of the following expression? $\log \left(\frac{9}{14}\right)-\log \left(\frac{15}{16}\right)+\log \left(\frac{35}{24}\right)$

(a)0

(b)1

(c)2

(d)3

Answer

Answer (as printed): A

Explanation

$$\begin{aligned} & \log \left(\frac{9}{14}\right)-\log \left(\frac{15}{16}\right)+\log \left(\frac{35}{24}\right) \\ & =\log \left(\frac{9}{14} \div \frac{15}{16} \times \frac{35}{24}\right)=\log \left(\frac{9}{14} \times \frac{16}{15} \times \frac{35}{24}\right)=\log 1=0 \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for Logarithms

1. Practise the PYQsPrevious-year questions, with answers

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